Visualization of Geodesic Curves , Spheres and Equidistant Surfaces in S 2 × R Space

The S2×R geometry is derived by direct product of the spherical plane S2 and the real line R. In [9] the third author has determined the geodesic curves, geodesic balls of S2×R space, computed their volume and defined the notion of the geodesic ball packing and its density. Moreover, he has developed a procedure to determine the density of the geodesic ball packing for generalized Coxeter space groups of S2×R and applied this algorithm to them. E. MOLNÁR showed in [3], that the homogeneous 3-spaces have a unified interpretation in the projective 3-sphere PS3(V4,V 4,R). In our work we shall use this projective model of S2×R geometry and in this manner the geodesic lines, geodesic spheres can be visualized on the Euclidean screen of computer.